Regularity of the Poisson kernel and free boundary problems
From MaRDI portal
Publication:3359112
DOI10.4064/cm-60-61-2-547-568zbMath0732.35025OpenAlexW788787561MaRDI QIDQ3359112
Publication date: 1990
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm-60-61-2-547-568
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Free boundary problems for PDEs (35R35)
Related Items
A free boundary problem for the parabolic Poisson kernel ⋮ Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains ⋮ Flatness of domains and doubling properties of measures supported on their boundary, with applications to harmonic measure ⋮ The first order correction to harmonic measure for random walks of rotationally invariant step distribution ⋮ Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates ⋮ The weak-\(A_\infty\) property of harmonic and \(p\)-harmonic measures implies uniform rectifiability ⋮ The one-phase problem for harmonic measure in two-sided NTA domains ⋮ Caloric measure in parabolic flat domains ⋮ Uniform rectifiability and harmonic measure. II: Poisson kernels in \(L^p\) imply uniform rectifiability ⋮ Poisson kernel characterization of Reifenberg flat chord arc domains ⋮ Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains ⋮ A singular integral approach to a two phase free boundary problem ⋮ Quantitative absolute continuity of harmonic measure and the Dirichlet problem: a survey of recent progress ⋮ Uniqueness of the blowup at isolated singularities for the Alt-Caffarelli functional
